Aside from Mr. Malty's "pitch from slurry" tab, I use this yeast calculator for my starters:
BrewUnited's Yeast Calculator
I keep a close eye on the various cell values, especially the inoculation rate, keeping that between 25 and 100 million cells per liter of starter wort for optimal growth.
That 600 ml slurry you have, is that the whole or a partial yeast cake from a previous batch? Aside from accumulated trub, if you harvested the whole cake, it contains 4-5x your pitched cell quantity. If it's a partial cake, a proportional amount of that.
Say it's the whole cake, it may have contained 800-1000 billion cells at the end of fermentation (if you pitched ~200 billion, originally). 10% viability would put it at 80-100 billion cells, although that may be a low side estimate. I've pitched 6 months old yeast slurries that took off like a rocket after making a
vitality starter, which sounds like what you're planning to make. They're not as much about growth, but to revitalize the live cells in a slurry or fresh pack for better performance and shorter lag times.
Now 600 ml slurry must contain a boatload of trub. You're pitching that too, along with the yeast.